Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

266×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
10	1775
9	710
8	365
7	203
6	134
5	114
4	95
3	65
2	37
1	23
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(+ y (* z (- b y)))
0.9b	(+ (* x y) (* z (- t a)))
23.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite423.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`associate-+r+` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`distribute-rgt-in` `pow1` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

350.0ms	(* z (- t a))
8.0ms	(+ y (* z (- b y)))
14.0ms	(+ (* x y) (* z (- t a)))
48.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series582.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (- t a))
35.0ms	(+ y (* z (- b y)))
58.0ms	(+ (* x y) (* z (- t a)))
437.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1228
1	385
0	152

prune581.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.7b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* x y) (* z (- t a)))
22.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`associate-+r+` `add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 109

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
13.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
62.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series599.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ y (* z (- b y)))
106.0ms	(/ 1 (+ y (* z (- b y))))
60.0ms	(+ (* x y) (* z (- t a)))
392.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1458
1	423
0	153

prune556.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
23.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `insert-posit16`
2×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 149

Calls

4 calls:

10.0ms	(+ y (* z (- b y)))
31.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
18.0ms	(+ (* x y) (* z (- t a)))
43.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.4s

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ y (* z (- b y)))
944.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
48.0ms	(+ (* x y) (* z (- t a)))
325.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.6s

Counts

161 → 161

Iterations

Iter	Nodes
done	5013
2	1946
1	581
0	220

prune970.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- b y) z)
0.0b	(+ y (* (- b y) z))
0.9b	(+ (* (- t a) z) (* x y))
23.0b	(/ (+ (* (- t a) z) (* x y)) (+ y (* (- b y) z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1`
5×	`associate-l`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

23.0ms	(* (- b y) z)
11.0ms	(+ y (* (- b y) z))
28.0ms	(+ (* (- t a) z) (* x y))
67.0ms	(/ (+ (* (- t a) z) (* x y)) (+ y (* (- b y) z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- b y) z)
43.0ms	(+ y (* (- b y) z))
60.0ms	(+ (* (- t a) z) (* x y))
245.0ms	(/ (+ (* (- t a) z) (* x y)) (+ y (* (- b y) z)))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	1187
1	358
0	141

prune520.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 18.3b

regimes1.1s

Accuracy

88.6% (0.5b remaining)

Error of 18.9b against oracle of 18.4b and baseline of 22.6b

bsearch3.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample1.1s

Algorithm

intervals

Results

771.0ms

8442×

body

valid